Also called Resurrection Lilies. I have thousands of them. Last fall (after they bloomed), I transplanted hundreds of them and didn't make a dent. All the transplanted ones are blooming now.
They're called 'Naked Ladies' because when the bloom, there is no foliage whatsoever. The foliage is one of the first things to come up in the end of winter (usually late February), then it dies back and completely disappears. Suddenly, overnight in July/August, tall shoots literally shoot up and bloom; hence, Surprise Lilies.
The bulbs are quite large, and if you hack then while transplanting, it doesn't harm them.